Search a number
-
+
52762269 = 3721512377
BaseRepresentation
bin1100100101000…
…1011010011101
310200021121020010
43021101122131
5102001343034
65122513433
71210320600
oct311213235
9120247203
1052762269
112786808a
1215805879
13ac147a1
147016337
1549733e9
hex325169d

52762269 has 24 divisors (see below), whose sum is σ = 82411968. Its totient is φ = 29937600.

The previous prime is 52762249. The next prime is 52762289. The reversal of 52762269 is 96226725.

It is a happy number.

52762269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52762249) and next prime (52762289).

It is not a de Polignac number, because 52762269 - 28 = 52762013 is a prime.

It is a super-3 number, since 3×527622693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52762249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21009 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (3433832).

Almost surely, 252762269 is an apocalyptic number.

It is an amenable number.

52762269 is a deficient number, since it is larger than the sum of its proper divisors (29649699).

52762269 is a wasteful number, since it uses less digits than its factorization.

52762269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2538 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 52762269 is about 7263.7641068526. The cubic root of 52762269 is about 375.0661074566.

The spelling of 52762269 in words is "fifty-two million, seven hundred sixty-two thousand, two hundred sixty-nine".

Divisors: 1 3 7 21 49 147 151 453 1057 2377 3171 7131 7399 16639 22197 49917 116473 349419 358927 1076781 2512489 7537467 17587423 52762269